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Finding the Fourth Proportional to 2,214.38, 3,320.31 and 914.33

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Solution

The fourth proportional to 2,214.38, 3,320.31 and 914.33 is: 1,370.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.38 : 3,320.31 = 914.33 : x
  2. Step 2: Convert to fraction form
    2,214.38/3,320.31 = 914.33/x
  3. Step 3: Cross multiply
    2,214.38x = 3,320.31 × 914.33
  4. Step 4: Simplify right side
    2,214.38x = 3,035,859.04
  5. Step 5: Solve for x
    x = 3,035,859.04/2,214.38
  6. Step 6: Final answer
    x = 1,370.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.